The parallelogram has a perimeter of 52, and one side of the parallelogram is 23 larger

| September 9, 2021 | education

The parallelogram has a perimeter of 52, and one side of the parallelogram is 23 larger than the other. Find the smaller side.

In order to find the sides of a parallelogram, we will recall the properties of the sides of a parallelogram and the formula for finding the perimeter of a parallelogram.

It is known from the condition that one of the sides of the parallelogram is 23 cm larger than the second, and its perimeter is 52 cm.

Opposite sides of a parallelogram are equal to each other. That is, we denote the length of one pair of sides as x cm, then we write the length of the second pair of sides as (x + 23) cm.

P = 2 (a + b);

2 (x + (x + 23)) = 52;

x + x + 23 = 52: 2;

2x + 23 = 26;

2x = 26 – 23;

2x = 3;

x = 1.5 cm is the length of one pair of sides of the parallelogram, then 1.5 + 23 = 24.5 cm is the length of the second pair of sides.



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